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collinear plane

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Q: Three lines that intersect in a point but do not all lie in the same plane?
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Can the lines of a plane intersect?

All non-parallel lines in a plane will intersect at some point in the plane.


Three lines that intersect at the same point must all be in the same plane?

no


What parallel lines intersect?

Parallel lines in the Euclidean plane do not intersect but all parallel lines in the projective plane intersect at the point at infinity.


Will non parallel lines intersect?

If the 2 lines lie in the same plane, and they are not parallel, then they will intersect at some point. If the 2 lines are skew lines, then they are not in the same plane, and they will not intersect (but they are Not Parallel)


Do three lines that intersect at the same point have to be at the same plane?

No they can be Collinear - Points that lie on the same line.


Do skew lines intersect if they are in the same plane?

No, skew lines cannot be in the same plane, since they do not have a point on common. Two lines intersect if they lie in a common plane, and by definition, these intersecting lines are not skew lines.


Do three lines intersect in only one point?

It's possible, but for any three lines in the same plane, there could be ether one point of intersection (unlikely) or three (more probably).


Does three points intersect at a single point?

No, only three lines can intersect at a single point.


Does three lines intersect at the same point must all be in the same plane?

No. Any pair of the three will describe a plane, so the three possible pairs describe three planes.


When two or more lines intersect at a point they are said to be?

Theorem: If two lines intersect, then exactly one plane contains both lines. So, when two or more lines intersect at one point, they lie exactly in the same plane. When two or more lines intersect at one point, their point of intersection satisfies all equations of those lines. In other words, the equations of these lines have the same solution, which is the point of intersection.


Plane has two number lines that intersect at the point called the?

false.


When lines intersect at the same point are they on the same plane?

No because only co-linear lines lie on the same plane